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Finding the Fourth Proportional to 13,792.16, 20,685.17 and 5,469.95

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Solution

The fourth proportional to 13,792.16, 20,685.17 and 5,469.95 is: 8,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.16 : 20,685.17 = 5,469.95 : x
  2. Step 2: Convert to fraction form
    13,792.16/20,685.17 = 5,469.95/x
  3. Step 3: Cross multiply
    13,792.16x = 20,685.17 × 5,469.95
  4. Step 4: Simplify right side
    13,792.16x = 113,146,714.87
  5. Step 5: Solve for x
    x = 113,146,714.87/13,792.16
  6. Step 6: Final answer
    x = 8,203.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.